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Finding the Fourth Proportional to 5,723.53, 7,899.25 and 3,454.98

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Solution

The fourth proportional to 5,723.53, 7,899.25 and 3,454.98 is: 4,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.53 : 7,899.25 = 3,454.98 : x
  2. Step 2: Convert to fraction form
    5,723.53/7,899.25 = 3,454.98/x
  3. Step 3: Cross multiply
    5,723.53x = 7,899.25 × 3,454.98
  4. Step 4: Simplify right side
    5,723.53x = 27,291,750.77
  5. Step 5: Solve for x
    x = 27,291,750.77/5,723.53
  6. Step 6: Final answer
    x = 4,768.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.